Title: Frequency estimation with an LMI-based adaptive update law

Authors: Takami Matsuo, Kentaro Adachi, Haruo Suemitsu

Addresses: Department of Architecture and Mechatronics, Oita University, 700 Dannonaru, Oita, Japan. ' Department of Architecture and Mechatronics, Oita University, 700 Dannonaru, Oita, Japan. ' Department of Architecture and Mechatronics, Oita University, 700 Dannonaru, Oita, Japan

Abstract: In this paper, we propose a frequency estimator using an adaptive observer. An LMI-based update law is applied to the adaptive observer and guarantees the stability of the error system with bounded disturbances. Moreover, we introduce the averaging factors to the frequency estimator in order to attenuate an error fluctuation arising due to noises in measurements. Finally, the performance of the proposed estimator is investigated by MATLAB simulations.

Keywords: adaptive observers; linear matrix inequality; LMI; averaging; frequency estimation; adaptive update law; simulation.

DOI: 10.1504/IJAMECHS.2008.022008

International Journal of Advanced Mechatronic Systems, 2008 Vol.1 No.2, pp.100 - 106

Published online: 16 Dec 2008 *

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